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JOURNALS // Matematicheskoe modelirovanie // Archive

Mat. Model., 1997 Volume 9, Number 12, Pages 110–120 (Mi mm1492)

This article is cited in 1 paper

Mathematical models and computer experiment

To the simulation of averaged hydrodynamics solutions

M. Ya. Ivanov

Central Institute of Aviation Motors, State Scientific Center of Russian Federation

Abstract: The method of simulation of the averaged solutions of hydrodynamic type equations based on transition to a “characteristic” scale of short-wave heterogeneities of flow is considered. The procedure of equations' solutions averaged on a short-wave scale is shown. This procedure is based on obtaining of differential approximations of averaged equations. The properties of obtained differential approximations are considered on an example of the solutions of Burgers equation (circumscribing nonlinear and viscous effects) averaged with the offered way.

Received: 15.07.1996



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